diff --git a/include/haproxy/server.h b/include/haproxy/server.h
index 75a5b27..1fa1b2d 100644
--- a/include/haproxy/server.h
+++ b/include/haproxy/server.h
@@ -250,14 +250,17 @@
 	 * last purge, or if we already don't have idle conns for the
 	 * current thread and we don't exceed last count by global.nbthread.
 	 */
-	if (srv && srv->pool_purge_delay > 0 &&
-	    (srv->max_idle_conns == -1 || srv->max_idle_conns > srv->curr_idle_conns) &&
-	    (srv->curr_used_conns + srv->curr_idle_conns < MAX(srv->curr_used_conns, srv->est_need_conns) +
-	     (MT_LIST_ISEMPTY(&srv->safe_conns[tid]) && MT_LIST_ISEMPTY(&srv->idle_conns[tid])) ? global.nbthread : 1) &&
-	    !(conn->flags & CO_FL_PRIVATE) &&
+	if (!(conn->flags & CO_FL_PRIVATE) &&
+	    srv && srv->pool_purge_delay > 0 &&
 	    ((srv->proxy->options & PR_O_REUSE_MASK) != PR_O_REUSE_NEVR) &&
-	    !conn->mux->used_streams(conn) && conn->mux->avail_streams(conn) &&
-	    ha_used_fds < global.tune.pool_low_count) {
+	    ha_used_fds < global.tune.pool_high_count &&
+	    (srv->max_idle_conns == -1 || srv->max_idle_conns > srv->curr_idle_conns) &&
+	    ((ha_used_fds < global.tune.pool_low_count &&
+	      MT_LIST_ISEMPTY(&srv->safe_conns[tid]) &&
+	      (is_safe || MT_LIST_ISEMPTY(&srv->idle_conns[tid]))) ||
+	     (srv->curr_used_conns + srv->curr_idle_conns <
+	      MAX(srv->curr_used_conns, srv->est_need_conns) + global.nbthread)) &&
+	    !conn->mux->used_streams(conn) && conn->mux->avail_streams(conn)) {
 		int retadd;
 
 		retadd = _HA_ATOMIC_ADD(&srv->curr_idle_conns, 1);